Magnetohydrodynamic (MHD) flow analysis of second grade fluids in a porous medium with prescribed vorticity

Akbar, Tanvir; Nawaz, Rab; Kamran, Muhammad; Rasheed, Amer

doi:10.1063/1.4936184

Cited by 21 publications

(11 citation statements)

References 27 publications

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“…In another study, the authors Rasool et al [20] use the famous SPECTRAL method to figure out the impact of EMHD by a vertical Riga plate in a second-grade type nanofluid. Akbar et al [21] numerically investigated the MHD flow of second-grade fluids in a porous medium with prescribed vorticity. Aurangzaib et al [22] reported the unsteady MHD type mixed convective flow based on a micropolar porous surface.…”

Section: Introductionmentioning

confidence: 99%

Numerical Investigation of Mixed Convective Williamson Fluid Flow Over an Exponentially Stretching Permeable Curved Surface

Ahmed

Khan

Akbar

et al. 2021

Fluids

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The present investigation aims to examine the heat flux mechanism in the hagnetohydrodynamic (MHD) mixed convective flow of Williamson-type fluid across an exponential stretching porous curved surface. The significant role of thermal conductivity (variable), non-linear thermal radiation, unequal source-sink, and Joules heating is considered. The governing problems are obtained using the Navier–Stokes theory, and the appropriate similarity transformation is applied to write the partial differential equations in the form of single-variable differential equations. The solutions are obtained by using a MATLAB-based built-in bvp4c package. The vital aspect of this analysis is to observe the effects of the curvature parameter, magnetic number, suction/injection parameter, permeability parameter, Prandtl factor, Eckert factor, non-linear radiation parameter, buoyancy parameter, temperature ratio parameter, Williamson fluid parameter, and thermal conductivity (variable) parameter on the velocity field, thermal distribution, and pressure profile which are discussed in detail using a graphical approach. The correlation with the literature reveals a satisfactory improvement in the existing results on permeability factors in Williamson fluids.

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Section: Introductionmentioning

confidence: 99%

Numerical Investigation of Mixed Convective Williamson Fluid Flow Over an Exponentially Stretching Permeable Curved Surface

Ahmed

Khan

Akbar

et al. 2021

Fluids

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“…Ishak et al [27] examined two-dimensional MHD stagnation point flow towards stretching sheet with variable surface temperature. Akbar et al [28] have analyzed the MHD flow of viscoelastic fluids taking a porous medium. e study of MHD free convection flow of viscoelastic fluid through a porous wedge has been studied by Rashidi et al [29].…”

Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamic Fluctuating Free Convection Flow of Second-Grade Fluid Flow in a Porous Medium

Ali

Khan

Gohar

2021

Mathematical Problems in Engineering

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The article’s objective is to study the magnetohydrodynamic fluctuating free convection flow of incompressible electrically conducting viscoelastic fluid in a porous medium in the presence of a pressure gradient. The flow is between two parallel plates; the lower plate is at rest, while the upper plate moves with a free stream velocity U t . A uniform magnetic field of strength B0 is applied transversely to the fluid motion. The dimensional governing equations and physical initial and boundary conditions are nondimensionalized by inserting appropriate dimensionless variables. Furthermore, Lighthill’s method is used to obtain exact analytical solutions for the velocity, temperature, and concentration distributions. Finally, the influences of inserted parameters are studied through plots and discussed physically. The numerical results are calculated and presented in tabular form for skin friction. It is worth mentioning that when the viscoelastic parameter α 1 tends to zero, the obtained general solution is reduced to Newtonian fluid, which shows the validity and correctness of our obtained exact solutions.

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“…Abd‐Alla et al 16 have considered the peristaltic stream of a Jeffrey liquid under the impact of a radially fluctuating attractive field in a cylinder with an endoscope. Akbar et al 17 have explored the MHD stream investigation of second‐grade liquids in a permeable medium with the recommended vorticity.…”

Section: Introductionmentioning

confidence: 99%

Impacts of couple stress with magnetic field and heat absorption on peristaltic flow of a power‐law fluid containing nanoparticles

et al. 2020

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This paper deals with the mathematical examination of the arrangement of incomplete differential conditions which depict the peristaltic movement of a non‐Newtonian nanofluid with couple stress through a symmetric channel with flexible walls. The fluid used obeys a power‐law model. The system of the nondimensional form of momentum, heat, and concentration of the fluid flow is solved numerically by using a Rung–Kutta–Merson method with the appropriate boundary conditions after using the approximations of long wavelength and low Reynolds number. The obtained arrangements are elements of the physical boundaries of the problem. In this manner, the impacts of these boundaries on the velocity, temperature, and nanoconcentration distributions are concentrated mathematically and shown graphically through many figures. It is discovered that the physical boundaries play a significant role in controlling the arrangements, where the speed field diminishes with expansion of the attractive boundary, while it increments with expanding couple pressure and the non‐Newtonian parameter of the non‐Newtonian liquid. Additionally, the temperature and nanoconcentration changes with the Brownian parameter and thermophoresis. Moreover, the temperature distribution increases with increase of the magnetic parameter, Prandtl number, Eckert number, and heat source.

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Magnetohydrodynamic (MHD) flow analysis of second grade fluids in a porous medium with prescribed vorticity

Cited by 21 publications

References 27 publications

Numerical Investigation of Mixed Convective Williamson Fluid Flow Over an Exponentially Stretching Permeable Curved Surface

Numerical Investigation of Mixed Convective Williamson Fluid Flow Over an Exponentially Stretching Permeable Curved Surface

Magnetohydrodynamic Fluctuating Free Convection Flow of Second-Grade Fluid Flow in a Porous Medium

Impacts of couple stress with magnetic field and heat absorption on peristaltic flow of a power‐law fluid containing nanoparticles

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